{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solid Earth tides at Los Angeles, USA from 2001-2021"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Go to directory /Users/yunjunz/Downloads\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import os\n",
    "import datetime as dt\n",
    "import numpy as np\n",
    "from scipy import signal\n",
    "from matplotlib import pyplot as plt, ticker, dates as mdates\n",
    "import pysolid\n",
    "plt.rcParams.update({'font.size': 12})\n",
    "\n",
    "work_dir = os.path.expanduser('~/Downloads')\n",
    "os.chdir(work_dir)\n",
    "print('Go to directory', work_dir)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate SET"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PYSOLID: calculate solid Earth tides in east/north/up direction\n",
      "PYSOLID: lot/lon: 34.0/-118.0 degree\n",
      "PYSOLID: start UTC: 2001-01-01T04:00:00\n",
      "PYSOLID: end   UTC: 2021-01-01T02:00:00\n",
      "PYSOLID: time step: 600 seconds\n"
     ]
    }
   ],
   "source": [
    "# inputs\n",
    "lat, lon = 34.0, -118.0 # Los Angles, CA\n",
    "step_sec = 60 * 10\n",
    "dt0 = dt.datetime(2001,1,1,4,0,0)\n",
    "#dt0 = dt.datetime(2020,1,1,4,0,0)\n",
    "dt1 = dt.datetime(2021,1,1,2,0,0)\n",
    "\n",
    "# run\n",
    "(dt_out,\n",
    " tide_e,\n",
    " tide_n,\n",
    " tide_u) = pysolid.calc_solid_earth_tides_point(lat, lon, dt0, dt1,\n",
    "                                                step_sec=step_sec,\n",
    "                                                display=False,\n",
    "                                                verbose=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot - time-series of SET up components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save figure to file: SET_TS_Up.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot\n",
    "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=[12, 3])\n",
    "ax.plot(dt_out, tide_u*100, lw=1.5)\n",
    "\n",
    "# axis format\n",
    "ax.tick_params(which='both', direction='out', bottom=True, top=False, left=True, right=True)\n",
    "ax.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m'))\n",
    "ax.xaxis.set_major_locator(mdates.MonthLocator())\n",
    "ax.xaxis.set_minor_locator(mdates.DayLocator())\n",
    "ax.set_ylabel('Displacement Up [cm]')\n",
    "ax.set_title(r'solid Earth tides at Los Angeles (N34$^\\circ$, E-118$^\\circ$)')\n",
    "ax.set_xlim(dt.datetime(2020,8,27), dt.datetime(2020,12,5))\n",
    "fig.tight_layout()\n",
    "\n",
    "# output\n",
    "out_fig = 'SET_TS_Up.png'\n",
    "print('save figure to file:', out_fig)\n",
    "#fig.savefig(out_fig, bbox_inches='tight', transparent=True, dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot - power spectrum\n",
    "\n",
    "The same code as:\n",
    "```python\n",
    "pysolid.plot_power_spectral_density4tides(tide_u, sample_spacing=step_sec, out_fig='SET_PSD.png', fig_dpi=600, min_psd=1500)\n",
    "```\n",
    "\n",
    "### Semi-diurnal period and diurnal period"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save figure to file: /Users/yunjunz/Downloads/SET_PSD.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## calc PSD\n",
    "freq, psd = signal.periodogram(tide_u, fs=1/step_sec, scaling='density')\n",
    "# get rid of zero in the first element\n",
    "psd = psd[1:]\n",
    "freq = freq[1:]\n",
    "period = 1./3600./freq   # period (hour)\n",
    "\n",
    "## plot\n",
    "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=[8,3], sharey=True)\n",
    "for ax in axs:\n",
    "    ax.plot(period, psd, '.', ms=16, mfc='none', mew=2)\n",
    "\n",
    "# axis format\n",
    "for ax in axs:\n",
    "    ax.tick_params(which='both', direction='out', bottom=True, top=True, left=True, right=True)\n",
    "    ax.xaxis.set_minor_locator(ticker.AutoMinorLocator())\n",
    "    ax.set_xlabel('Period [hour]')\n",
    "axs[0].set_xlim(11.3, 13.2)\n",
    "axs[1].set_xlim(22.0, 28.0)\n",
    "ax = axs[0]\n",
    "ax.set_ylabel('Power Spectral Density\\n'+r'[$m^2/Hz$]')\n",
    "ax.set_ylim(0, ymax=axs[0].get_ylim()[1] * 1.1)\n",
    "#plt.yscale('log')\n",
    "#ax.yaxis.set_major_locator(ticker.FixedLocator([0,50e3,100e3,150e3]))\n",
    "#ax.set_yticklabels(['0','50k','100k','150k'])\n",
    "fig.tight_layout()\n",
    "\n",
    "# Tidal constituents\n",
    "for ax in axs:\n",
    "    pysolid.point.add_tidal_constituents(ax, period, psd, min_psd=0.02e6)\n",
    "axs[0].annotate('semi-diurnal', xy=(0.05,0.85), xycoords='axes fraction')\n",
    "axs[1].annotate('diurnal',      xy=(0.05,0.85), xycoords='axes fraction')\n",
    "\n",
    "# output\n",
    "out_fig = 'SET_PSD.png'\n",
    "if out_fig:\n",
    "    print('save figure to file:', os.path.abspath(out_fig))\n",
    "    fig.savefig(out_fig, bbox_inches='tight', transparent=True, dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Short period"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save figure to file: /Users/yunjunz/Downloads/SET_PSD_short.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=[4,3], sharey=True)\n",
    "ax.plot(period, psd, '.', ms=16, mfc='none', mew=2)\n",
    "\n",
    "# axis format\n",
    "ax.tick_params(which='both', direction='out', bottom=True, top=True, left=True, right=True)\n",
    "ax.xaxis.set_minor_locator(ticker.AutoMinorLocator())\n",
    "ax.set_xlabel('Period [hour]')\n",
    "ax.set_ylabel('Power Spectral Density\\n'+r'[$m^2/Hz$]')\n",
    "ax.set_xlim(7.8, 8.7)\n",
    "plt.yscale('log')\n",
    "fig.tight_layout()\n",
    "\n",
    "# output\n",
    "out_fig = 'SET_PSD_short.png'\n",
    "if out_fig:\n",
    "    print('save figure to file:', os.path.abspath(out_fig))\n",
    "    fig.savefig(out_fig, bbox_inches='tight', transparent=True, dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Long period"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "save figure to file: /Users/yunjunz/Downloads/SET_PSD_long.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get period in days\n",
    "period = 1./(3600.*24.)/freq   # period (hour)\n",
    "\n",
    "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=[4,3], sharey=True)\n",
    "ax.plot(period, psd, '.', ms=16, mfc='none', mew=2)\n",
    "\n",
    "# axis format\n",
    "ax.tick_params(which='both', direction='out', bottom=True, top=True, left=True, right=True)\n",
    "ax.xaxis.set_minor_locator(ticker.AutoMinorLocator())\n",
    "ax.set_xlabel('Period [day]')\n",
    "ax.set_xlim(50, 450)\n",
    "ax.set_ylabel('Power Spectral Density\\n'+r'[$m^2/Hz$]')\n",
    "plt.yscale('log')\n",
    "fig.tight_layout()\n",
    "\n",
    "# output\n",
    "out_fig = 'SET_PSD_long.png'\n",
    "if out_fig:\n",
    "    print('save figure to file:', os.path.abspath(out_fig))\n",
    "    fig.savefig(out_fig, bbox_inches='tight', transparent=True, dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
